For the Bose-Einstein condensed phase below the critical
temperature
, show that the specific heat
is proportional to
. Express the proportionality constant in terms of
.
Show all steps.
For the Bose-Einstein condensed phase below the critical temperature , show that the specific heat is...
Explain the phenomena of "Bose-Einstein condensation" and find the critical temperature below which Bose-Einstein condensation takes place. Show that Bose-Einstein condensation does not occur in tow dimensions. We were unable to transcribe this imageп-1 1 gn(2) T(n) х" da 1er-1 Г(п) п-1 1 gn(2) T(n) х" da 1er-1 Г(п)
Consider an 3-dimensional ideal bose gas system whose dispersion relation is given by a) Find the mean occupation number of quantum state with a wave vector b) Find the total number of particles at excited states and internal energy at temperature and express it in terms of Bose-Einstein integral and thermal wave length h2k2 E hw 2m We were unable to transcribe this imageWe were unable to transcribe this imageU (T We were unable to transcribe this imagegn(z; h2 1/2...
With the standard Dirac Hamiltonian plus Coulomb potential
below:
a) Show that
.
b) Show that
, where
.
c) Show that
.
d) Since
all mutually commute, they should have common eigenfunctions, and
thus using (c), find the eigenvalues of K2 and K, in
terms of j.
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9. (a) Assume that the insulation around a rod is faulty in that the heat in each small slab leaks through the insulation at a rate proportional to the temperature of the slab. Show that the temperature u(x,t) then obeys the equation u, - ku.,- hu for some constant h> 0 We were unable to transcribe this image
please answer all questions
Temperature Change and Phase Change - Specific Heat and Latent Heat - From COLD ICE to Warm Water The quantitative relationship between heat transfer and temperature change is Q = mcAT, where Q is heat transfer, m is the mass of the substance, and AT is the change in temperature. The symbol c stands for specific heat which depends on the material and phase (for exmample, water and ice have different specific heat). The specific heat...
Consider a gas of fermion at . 1) At finite temperature , find the occupation number of the quantum state with energy . Explain qualitatively how this distribution would influence on the specific heat of the system. T 0 We were unable to transcribe this imageWe were unable to transcribe this image T 0
12)
Suppose that an Iowa class battleship has mass around 52,000
metric tons (52,000,000 kg) and a k-value in the equation
of about 60,000 kg/s, where v is the ship's velocity,
is the initial velocity, m is the mass, k is a
constant of proportionality, and t is time. Assume that the ship
loses power when it is moving at a speed of 9 m/s
a.
About how far will the ship coast before it is dead in the
water?...
An experiment was performed to determine the Hsoln
of the dissolution process of
urea(CO(NH2)2(s)) in water.
95.91 grams of water was put in a calorimeter and 13.5 grams of
solid urea was added. The initial temperature of
Water is the same as that of urea. Below is a graph describing the
temperature change over time of a process
Dissolving the urea in the water.
A. What is the change in temperature due to the dissolution of
urea?
B. Based on...
The value of the heat capacity for a substance depends on
whether it’s measured under constant pressure conditions or
constant volume conditions. The constant-pressure molar heat
capacity is given by
= (dq/dT)P
and the constant-volume heat capacity is given by
= (dq/dT)V
Note that we use d instead of
because q is not a state function of temperature, volume, and
pressure; its value depends on how we execute the process.
Here are several questions regarding heat capacity.
a. When we...
An experiment was performed to determine the Hsoln
of the dissolution process of
urea(CO(NH2)2(s)) in water.
95.91 grams of water was put in a calorimeter and 13.5 grams of
solid urea was added. The initial temperature of
Water is the same as that of urea. Below is a graph describing the
temperature change over time of a process
Dissolving the urea in the water.
A. What is the change in temperature due to the dissolution of
urea?
B. Based on...